The actress (who is currently recurring on HBO's Hung) has been receiving well wishes on Twitter, responding to one pal: "Thanks mama! It all seems a bit surreal...xo"

Former costar Vanessa Williamstweeted that she's already seen the baby, saying: "Congrats to the radiant @TheRealAnaOrtiz! Visited her at the hospital & held baby boy for almost an hour while catching up. What joy!"

Ortiz tweeted back: "It meant the world to me that you were there! xxoo"